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Repulsion and quantization in almost-harmonic maps, and asymptotics of the harmonic map flow
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UNSPECIFIED (2004) Repulsion and quantization in almost-harmonic maps, and asymptotics of the harmonic map flow. ANNALS OF MATHEMATICS, 159 (2). pp. 465-534. ISSN 0003-486X
Full text not available from this repository.Abstract
We present an analysis of bounded-energy low-tension maps between 2-spheres. By deriving sharp estimates for the ratio of length scales on which bubbles of opposite orientation develop, we show that we can establish a 'quantization estimate' which constrains the energy of the map to lie near to a discrete energy spectrum. One application is to the asymptotics of the harmonic map flow; we find uniform exponential convergence in time, in the case under consideration.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Journal or Publication Title: | ANNALS OF MATHEMATICS |
| Publisher: | ANN MATHEMATICS |
| ISSN: | 0003-486X |
| Date: | March 2004 |
| Volume: | 159 |
| Number: | 2 |
| Number of Pages: | 70 |
| Page Range: | pp. 465-534 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/8062 |
Data sourced from Thomson Reuters' Web of Knowledge
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